Is a Hyperplane a Subspace?

In geometry, a hyperplane is a subspace whose dimension is one less than that of its ambient space. If a space is 3-dimensional then its hyperplanes are the 2-dimensional planes, while if the space is 2-dimensional, its hyperplanes are the 1-dimensional lines.

What is difference between plane and hyperplane?

is that plane is (geometry) a flat surface extending infinitely in all directions (eg horizontal or vertical plane) while hyperplane is (geometry) an n''-dimensional generalization of a plane; an affine subspace of dimension ''n-1'' that splits an ''n -dimensional space (in a one-dimensional space, it is a point; in ...

What is a hyperplane in statistics?

called a hyperplane. More generally, a hyperplane is any codimension-1 vector subspace of a vector space. Equivalently, a hyperplane in a vector space is any subspace such that. is one-dimensional.